Estimating numbers is an approximation that we use in our daily life, it makes a number simple but keeping its value to what it was. Significant figures or Estimating numbers is the basic concept that your child needs to learn at the primary level itself. The result of an estimate is less accurate and easier to use especially while doing arithmetical operations.
Likewise, rounding a number to the nearest thousand means making the units and tens, hundreds place zeros and either increasing or decreasing the remaining part of the number by 1. Make your calculations easy by changing the given number to the nearest values. In this article, students can learn about Estimate to Nearest Thousand Definition, Rules, how to estimate a number nearest to 1000, Solved Example problems, and so on.
Read More:
- Estimate to Nearest Tens
- Estimate to Nearest Hundreds
- Estimating Sums and Differences
Estimate to Nearest Thousands – Definition
Estimate to Nearest 1000 is a process where you need to convert any given decimal number into the nearest thousandth value. But the obtained number is not the original number, it is an approximate value of the original number. Estimating to the nearest thousand means writing the nearest 1000 of the given number. In the decimal system thousand means (1/1000) or 0.001. Thousand is a place, which is located at the fourth position.
Rules for Estimation of Numbers to Nearest Thousands
There are 2 different rules for estimating the nearest thousand. The following are the 2 rules:
- Rule 1: To Estimate to the nearest 1000, if the digit in the hundreds place is between 0 to 4 or less than 5, then the hundreds place, tens place, and units place digits are replaced by 0.
- Rule 2: If the digit in the hundred’s place is equal to 5 or greater than 5, then the hundreds place digit, tens place digit, and units place digit is replaced by 0, and a thousand places are increased by 1.
How to Estimate a Number to Nearest 1000?
Follow the simple and easy steps provided below for an estimate of the nearest Thousands. They are in the following fashion
- First, we have to identify the number you want to round and mark the digit in the hundredths column.
- To round a digit to nearest hundreds place.
- If the digits in the hundreds place are 0, 1, 2, 3, 4, then replace the value in the hundreds place, tens place, and units place as 1 and keep remaining as it is.
- If the digits in the hundreds place are 5, 6, 7, 8, or 9, then place zero’s in the hundreds place, tens place, units place and increase the thousands place digit by one.
- Now, write the obtained number that is estimated to nearest 1000.
Explore all other Math Concepts similar to Estimation, Rounding Off Numbers all under one roof and practice the activity sheets, practice problems, worksheets, etc. to get a good hold of them.
Round to the Nearest Thousands Examples
Problem 1:
The following are the numbers to estimate nearest to 1000’s,
(i) 6241
(ii) 17692
(iii) 45620
Solution:
The values are given in the question,
Now, we have to round the nearest thousands of the values.
(i)6241
The value is 6241, hundred’s place digit is 2 means that is less than 5. So, we have to replace the hundreds place digit, ten’s place digit, and units place digit with 0.
So, after replacing digits the value is 6000.
Therefore, 6241 is estimated to nearest 1000’s is 6000.
(ii) The number is 17692
We can see that the digit in hundreds place is 6 which is greater than 5. So, we have to replace the hundreds place, tens place, units place digits with 0 and increase the thousands place digit by one.
So, after replacing digits the value is 18000.
Thus, 17692 is estimating nearest to 1000 is 18000.
(iii) The given number is 45720
In this, the tens place digit is 7, which is greater than 5. So, we will place zeros in the hundreds place, tens place, units place, and increase the thousands place digit by one.
So, the obtained value is 46000.
Hence, the estimating nearest 1000 is 46000.
Problem 2:
To estimate the number to the nearest Thousand. The number is 12.8562
Solution:
As given in the question, the value is 12.8562
Now, we have to round the nearest 1000 of the given number.
First, we have to identify the hundreds place digit, which is 5, which is equal to 5. So, we have to replace zero in hundreds place digit, tens place digit, units place digit, and increase by 1 of the thousands place digit.
So, the number is 12.8562 after replacing and increasing the value is 12.9000
Thus, the rounding-off of 12.8562 to the nearest thousand is 12.9000.
Problem 3:
What is the value of 4555 Estimating of nearest 1000?
Solution:
The value 4555 is given in the question.
Now, we have to write the nearest thousand value.
So, we have to choose the two multiplies of 1000 just greater than and just less than 4555.
The nearest thousands of 4555 are 4000, 5000.
Then the value is,
4555 – 4000 = 555
5000 – 4555 = 445
As 5000 has the lowest difference value.
Therefore, 5000 is estimated to nearest 1000 for 4555.
Problem 4:
Find the value 18,675 estimated to nearest thousand?
Solution:
The given number is 18,675
Now, we have to find the nearest thousand value of that number.
First, we can identify the digit in the hundreds place that is 6, which is greater than 5. So, we have to replace the value in the hundreds place, tens place, units place digit with zero and increase by 1 in the thousands place digit.
So, the value is 18,675
After replacing the value is 19,000
Hence, the value of 18,675 is nearer to thousands is 19,000.
FAQ’s on Estimate to Nearest Thousands
1. What is meant by estimate to nearest thousands?
Estimate to nearest thousand means the estimate of any decimal number to its nearest thousandth value. In decimal numbers, the thousandth means 1/1000 (or) 0.001. It is located in the fourth position.
2. How many rules are there for estimating nearest to thousands?
There are 2 different rules for estimating nearest to thousands.
3. How do you estimate to the nearest thousand?
To estimate a number to the nearest thousand, first look at hundreds place digit. If the digit is less than equal to 4 then replace zero with the last 3digits. If the hundreds place digit is greater than 5, then replace the digits at hundreds, tens, units place digit and increase by 1 in the thousands place digit.